14 083 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Details

Composite, with 2 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
140831	6	17.1	old
77002670926298924868660464909727624487	38	125.9	2019-03-16 12:35:18

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1518 / 9201

Estimated T-Level: 40.8 ⓘ

TF below 2^131 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	415CF29C3D369422	1	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	415CF29C3D369422	1	11760	1	3
Verified	No proof (small exponent)	2019-03-16	ATH	2F1C8D7BADF1F3E3	2	10625	5	3
Verified	No proof (small exponent)	2019-03-17	marssystems	2F1C8D7BADF1F3E3	2	3531	5	3

History

Date	User	Type	Result
2025-02-16	masser	NF-PP1	Start=77/67, B1=430000000, B2=429570000000
2025-02-08	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-20	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2024-01-29	-anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-23	JacobZ	NF-PM1	B1=7800000000, B2=32022192391138950
2023-02-11	USAFSS	NF-PM1	B1=30000000, B2=2010341563230
2022-02-06	ANONYMOUS	NF-PM1	B1=50000
2019-03-17	marssystems	C-PRP	M14083/140831/77002670926298924868660464909727624487 : 2F1C8D7BADF1F3E3
2019-03-16	ATH	C-PRP	M14083/140831/77002670926298924868660464909727624487 : 2F1C8D7BADF1F3E3
2019-03-16	Niels_Mache_Nextcloud	F-ECM	Factor: 77002670926298924868660464909727624487
2017-10-12	kkmrkkblmbrbk	C-PRP	M14083/140831 : 415CF29C3D369422
2017-09-21	Oliver Kruse	C-PRP	M14083/140831 : 415CF29C3D369422
2017-09-21	Oliver Kruse	C-PRP	M14083/140831 : 415CF29C3D369422